Search a number
-
+
6300644868 = 22327199125641
BaseRepresentation
bin1011101111000110…
…00011011000000100
3121021002202220220100
411313203003120010
5100400431113433
62521112404100
7312064412010
oct56743033004
917232686810
106300644868
112743605821
12127a0a6630
1379546123b
1443ab0d540
1526d222b13
hex1778c3604

6300644868 has 72 divisors (see below), whose sum is σ = 18293475200. Its totient is φ = 1791123840.

The previous prime is 6300644849. The next prime is 6300644881. The reversal of 6300644868 is 8684460036.

6300644868 is a `hidden beast` number, since 630 + 0 + 6 + 4 + 4 + 8 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12673 + ... + 112968.

Almost surely, 26300644868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6300644868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9146737600).

6300644868 is an abundant number, since it is smaller than the sum of its proper divisors (11992830332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6300644868 is a wasteful number, since it uses less digits than its factorization.

6300644868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125857 (or 125852 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6300644868 is about 79376.6015145521. The cubic root of 6300644868 is about 1846.9777650291.

The spelling of 6300644868 in words is "six billion, three hundred million, six hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 12537 16716 25074 50148 125641 251282 376923 502564 753846 879487 1130769 1507692 1758974 2261538 2638461 3517948 4523076 5276922 7915383 10553844 15830766 25002559 31661532 50005118 75007677 100010236 150015354 175017913 225023031 300030708 350035826 450046062 525053739 700071652 900092124 1050107478 1575161217 2100214956 3150322434 6300644868